Symplectic log Calabi-Yau surface---deformation class

TL;DR

This paper investigates symplectic analogues of log Calabi-Yau surfaces and demonstrates that their deformation classes are fully characterized by homological data, advancing understanding in symplectic geometry.

Contribution

It establishes that symplectic deformation classes of log Calabi-Yau surfaces are uniquely determined by homological invariants, providing a complete classification.

Findings

Deformation classes are classified by homological data.

Symplectic analogues mirror complex log Calabi-Yau surfaces.

Homological invariants suffice for classification.

Abstract

We study the symplectic analogue of log Calabi-Yau surfaces and show that the symplectic deformation classes of these surfaces are completely determined by the homological information.